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Document Details
Document Type
:
Article In Journal
Document Title
:
Approximation methods for a common fixed point of a finite family of nonexpansive mappings
Approximation methods for a common fixed point of a finite family of nonexpansive mappings
Subject
:
Mthematics
Document Language
:
English
Abstract
:
Let K be a nonempty closed and convex subset of a real Banach space E. Let T: KE be a continuous pseudocontractive mapping and f:KE a contraction, both satisfying weakly inward condition. Then for t(0, 1), there exists a sequence {yt}K satisfying the following condition: yt=(1-t)f(yt)+tT(yt). Suppose further that {yt} is bounded or F(T) and E is a reflexive Banach space having weakly continuous duality mapping J for some gauge . Then it is proved that {yt} converges strongly to a fixed point of T, which is also a solution of certain variational inequality. Moreover, an explicit iteration process that converges strongly to a common fixed point of a finite family of nonexpansive mappings and hence to a solution of a certain variational inequality is constructed.
ISSN
:
01630563
Journal Name
:
Numerical Functional Analysis and Optimization
Volume
:
28
Issue Number
:
11
Publishing Year
:
2007 AH
2007 AD
Number Of Pages
:
14
Article Type
:
Article
Added Date
:
Wednesday, October 21, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
Zegeye, H.
Zegeye, H.
Researcher
Doctorate
نصير شهزاد محمد ايوب
Naseer Shahzad
Researcher
Doctorate
nshahzad@kaau.edu.sa
Files
File Name
Type
Description
23252.pdf
pdf
Abstract
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